BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Lara Bossinger (UNAM-Oaxaca)
DTSTART:20200915T150000Z
DTEND:20200915T160000Z
DTSTAMP:20260423T021029Z
UID:OCAS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OCAS/3/">Und
 erstanding universal coefficients of Grassmannians through Groebner theory
 </a>\nby Lara Bossinger (UNAM-Oaxaca) as part of Online Cluster Algebra Se
 minar (OCAS)\n\n\nAbstract\nIn this talk I will present recent results of 
 a joint work with Fatemeh Mohammadi and Alfredo Nájera Chávez.  For a po
 larized weighted projective variety V(J) we introduce a flat family that c
 ombines all Groebner degenerations of V associated to a maximal cone in th
 e Groebner fan of J. It turns out that this family can alternatively be ob
 tained as a pull-back of a toric family (in the sense of Kaveh--Manon's cl
 assification of such).\nThe most surprising application of this constructi
 on is its relation to cluster algebras with universal coefficients. To dem
 onstrate this connection we analyze the cases of the Grassmannians Gr(2\,n
 ) and Gr(3\,6) in depth.\nFor Gr(2\,n) we fix its Pluecker embedding and f
 or Gr(3\,6) what we call its "cluster embedding". In both cases we identif
 y a specific maximal cone C in the Groebner fan of the defining ideal such
  that the algebra defining the flat family mentioned above is canonically 
 isomorphic to the corresponding cluster algebra with universal coefficient
 s.\n
LOCATION:https://researchseminars.org/talk/OCAS/3/
END:VEVENT
END:VCALENDAR